// This file is triangularView of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#include "main.h"

template<typename MatrixType>
void
trmv(const MatrixType& m)
{
	typedef typename MatrixType::Scalar Scalar;
	typedef typename NumTraits<Scalar>::Real RealScalar;
	typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;

	RealScalar largerEps = 10 * test_precision<RealScalar>();

	Index rows = m.rows();
	Index cols = m.cols();

	MatrixType m1 = MatrixType::Random(rows, cols), m3(rows, cols);
	VectorType v1 = VectorType::Random(rows);

	Scalar s1 = internal::random<Scalar>();

	m1 = MatrixType::Random(rows, cols);

	// check with a column-major matrix
	m3 = m1.template triangularView<Eigen::Lower>();
	VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::Upper>();
	VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::UnitLower>();
	VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::UnitUpper>();
	VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps));

	// check conjugated and scalar multiple expressions (col-major)
	m3 = m1.template triangularView<Eigen::Lower>();
	VERIFY(((s1 * m3).conjugate() * v1)
			   .isApprox((s1 * m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::Upper>();
	VERIFY((m3.conjugate() * v1.conjugate())
			   .isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps));

	// check with a row-major matrix
	m3 = m1.template triangularView<Eigen::Upper>();
	VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::Lower>();
	VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::UnitUpper>();
	VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::UnitLower>();
	VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps));

	// check conjugated and scalar multiple expressions (row-major)
	m3 = m1.template triangularView<Eigen::Upper>();
	VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps));
	m3 = m1.template triangularView<Eigen::Lower>();
	VERIFY((m3.adjoint() * (s1 * v1.conjugate()))
			   .isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1 * v1.conjugate()), largerEps));
	m3 = m1.template triangularView<Eigen::UnitUpper>();

	// check transposed cases:
	m3 = m1.template triangularView<Eigen::Lower>();
	VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps));
	VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps));
	VERIFY((v1.adjoint() * m3.adjoint())
			   .isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps));

	// TODO check with sub-matrices
}

EIGEN_DECLARE_TEST(product_trmv)
{
	int s = 0;
	for (int i = 0; i < g_repeat; i++) {
		CALL_SUBTEST_1(trmv(Matrix<float, 1, 1>()));
		CALL_SUBTEST_2(trmv(Matrix<float, 2, 2>()));
		CALL_SUBTEST_3(trmv(Matrix3d()));

		s = internal::random<int>(1, EIGEN_TEST_MAX_SIZE / 2);
		CALL_SUBTEST_4(trmv(MatrixXcf(s, s)));
		CALL_SUBTEST_5(trmv(MatrixXcd(s, s)));
		TEST_SET_BUT_UNUSED_VARIABLE(s)

		s = internal::random<int>(1, EIGEN_TEST_MAX_SIZE);
		CALL_SUBTEST_6(trmv(Matrix<float, Dynamic, Dynamic, RowMajor>(s, s)));
		TEST_SET_BUT_UNUSED_VARIABLE(s)
	}
}
